Kristen invests money in a bank and makes no additional deposits or withdrawals. the bank pays 1.4% interest compounded annually. to the nearest tenth of a year, how long must she leave the money in the bank for it to double? solve algebraically.

approximately 50 years.

Step-by-step explanation:

Let $P represent the initial amount that she deposited. It means that principal,

P = $P

It was compounded annually. This means that it was compounded once in a year. So

n = 1

The rate at which the principal was compounded is 1.4%. So

r = 1.4/100 = 0.014

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years. For the initial amount to double, it means that

A = 2P

Therefore

2P = P (1+0.014/1)^1×t

2P/P = (1.014)^t

2 = (1.014)^t

Taking log to base 10 of both sides, it becomes

Log 2 = log 1.014^t

Log 2 = tlog 1.014

0.301 = 0.006t

t = 0.301/0.006 = 50.2 years

51.4 years

Step-by-step explanation:

There is what we call rule of 72 in Accounting to find the time  a sum of money will double if it is compounded annually at any given rate . The formula is given as :

t =

where t is the time and r is the rate.

t = ?

r = 1.4

Therefore :

t = 72/1.4

t = 51.4286

to the nearest tenth

t = 51. 4 years

its d. the first coordintaes are 10,32

step-by-step explanation:

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc